I think if we tweak the slider analogy, it works just fine. Pushing the technology developement to 11 is just too extreme. Say everything should be at about 5. During the dark ages technology was pushed down to 1 or 2, but what if it was pushed up to 7 or 8. Heradel never said Boeing builds an F-22 before the Wright brothers flew. He was saying things like; can we condense these 200 years of progress down to 30 years. (OK, he did ask about the possibility of leap frogging a little bit, but not the really extreme)
I have trouble with the mixing board analogy on two counts, neither one of which is the absolute "level" of technology.
The first problem deals with the whole notion of technical progress as strictly linear -- that "progress" will always produce the same cluster of inventions in the same order, but at different rates, depending on the setting of the "slider." On the contrary, I think that at any given moment, many different technologies are possible, but only a few will be developed enough to become dominant. Given a few breaks along the way, canals could have supplanted railroads, trucks could have been developed much earlier, much later, or not at all. James Burke's series
Connections on Public TV nicely illustrates this point -- have a few people meet or not meet, change the timing of a couple discoveries, and something entirely different emerges as the technology of choice.
I didn't think that Heradel was saying an F22 gets built before the Wright Brothers flew; I'm saying he didn't allow for the possibility of a world that ends up with lots of near-transonic drigibles, and nobody
ever builds a wide-body jet. ("Rubbish! The things would have to land on a huge swath of empty land on the far outskirts of town instead of docking sensibly in the heart of the business district -- what fool would ride in such a device?")
My second problem is the notion that the sliders are independent, or even somewhat-independent. On the contrary, I think the dominant force in technical development is a powerful feedback loop between a society and the technology it uses. In your analogy, the
reason the "technology level" went to 7 or 8 would be profoundly important.
If interest in technology remained high because Rome was successful in turning back the wave of barbarians being displaced by the growth of the Mongol Empire, technology would have been applied to the problems that Romans thought were important. I suspect you'd get advanced weapons and some remarkable improvements in communication and transport, but precious little in the way of labor-saving devices -- what are all the slaves going to do? Watch the machines work? By contrast, if you postulate some changes in the theology of the Roman church after the fall of the Empire that make concentrating on the here-and-now more acceptable, you probably find the church's astonishing resources plowed into marvelous improvements in agriculture and maybe printing, but they're probably still moving along mud roads. And so on...
The question is still a good one. We've seen companies jump ahead, because they spent lots of money on R&D (Ford in the 80's). We've seen companies plummet, because they got complacent and didn't do the R&D (Ford after the 80's).
And we've seen companies spend lots on R&D and fall on their faces anyway -- Sony in the early 21st century.
What would have happen if the Dark Ages had been a high R&D time? And then would that be sci-fi or spec-fic?
I think it's a matter of emphasis in the story as much as anything. If the story deals with changes that have minimal technical impact but profound political consequences -- say Henry VIII decides that breaking with Rome really would endanger his soul -- then it's spec-fic. If we postulate that the cruicial event is a "break" in technical direction with profound social consequences -- like Babbage's fictional success in
The Difference Engine -- then it's sci-fi.
Of course, my opinions carry weight only in the space between my ears, and sometimes not even there...